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Finding the Fourth Proportional to 204,034.55, 305,750.49 and 98,728.07

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Solution

The fourth proportional to 204,034.55, 305,750.49 and 98,728.07 is: 147,946.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,034.55 : 305,750.49 = 98,728.07 : x
  2. Step 2: Convert to fraction form
    204,034.55/305,750.49 = 98,728.07/x
  3. Step 3: Cross multiply
    204,034.55x = 305,750.49 × 98,728.07
  4. Step 4: Simplify right side
    204,034.55x = 30,186,155,779.25
  5. Step 5: Solve for x
    x = 30,186,155,779.25/204,034.55
  6. Step 6: Final answer
    x = 147,946.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.